Question

two third of a number is three less than three fourth of the number .find the number​

Answer 1

Let the number be = y
Two third of y =2y/3
Three fourth of y = 3y/4
The difference is 3
Therefore,

3y/4-2y/3=3
=> 9y-8y/12=3
=> y/12=3
=> y=3x12
=> y=36

Answer 2

The required number is 36.

Given:

two third of a number is three less than three fourth of the number.

To find:

The required number​

Solution:

Let the required number be x.

• Two third of x is, $\frac{2}{3} x$ .
• Three fourth of x is, $\frac{3}{4} x$ .
• The difference between the above two is 3.

As two third of a number is three less than three fourth of the number

Mathematically we can write it as,

$\frac{3}{4}x -\frac{2}{3}x =3$

$(\frac{3}{4} -\frac{2}{3} )x=3$

$(\frac{9-8}{12})x =3$

$\frac{1}{12} x=3$

$x=36$

Hence, the required number is 36.

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